Topology.
Series: University mathematical texts
Publisher: Oliver and Boyd; Interscience Publishers
Published: 1956
Place of publication: Edinburgh; New York
Language: eng
Number of pages: 128
Subjects: Topology
First sentence: The word topology is derived from the Greek word τόπος, meaning 'a place'.
Table of contents: label: I
title: INTRODUCTION; label: 1
title: Topological Equivalence
pagenum: 1; label: 2
title: Surfaces
pagenum: 3; label: 3
title: Two sidedness and Orientability
pagenum: 8; label: 4
title: Connection
pagenum: 9; label: 5
title: Topological Invariants
pagenum: 11; label: 6
title: Euler's Theorem on polyhedra
pagenum: 12; label: 7
title: The colouring of maps
pagenum: 13; label: II
title: TOPOLOGICAL SPACES; label: 8
title: Notations and definitions of set theory
pagenum: 16; label: 9
title: Funtions
pagenum: 18; label: 10
title: Equivalence relations
pagenum: 21; label: 11
title: Continuity on the Euclidean line
pagenum: 22; label: 12
title: Continuity on the Euclidean plan
pagenum: 23; label: 13
title: Euclidean space of n dimensions
pagenum: 24; label: 14
title: Metric spaces
pagenum: 26; label: 15
title: Continuity in metric spaces
pagenum: 27; label: 16
title: Open sets and related concepts in metric spaces
pagenum: 29; label: 17
title: Theorems on metric spaces
pagenum: 31; label: 18
title: Topological spaces
pagenum: 33; label: 19
title: Some theorems on topological spaces
pagenum: 36; label: 20
title: Alternative methods of defining a topological space
pagenum: 40; label: 21
title: Bases
pagenum: 41; label: 22
title: Relative Topology
pagenum: 42; label: 23
title: Identification
pagenum: 43; label: 24
title: Topological products
pagenum: 44; label: 25
title: Topological groups
pagenum: 46; label: III
title: PARTICULAR TYPES OF TOPOLOGICAL SPACES; label: 26
title: Hausdorff spaces
pagenum: 49; label: 27
title: Normal spaces
pagenum: 52; label: 28
title: Convergence
pagenum: 56; label: 29
title: Compactness
pagenum: 58; label: 30
title: Connectedness
pagenum: 63; label: IV
title: HOMOTOPY; label: 31
title: Introduction
pagenum: 69; label: 32
title: Theorems on homotopy
pagenum: 72; label: 33
title: Homotopy type
pagenum: 75; label: 34
title: Paths
pagenum: 76; label: 35
title: The fundamental group
pagenum: 80; label: 36
title: The Homotopy Groups
pagenum: 86; label: V
title: SIMPLICIAL COMPLEXES; label: 37
title: Introduction
pagenum: 89; label: 38
title: Linear subspaces of Euclidean space
pagenum: 89; label: 39
title: Simplexes
pagenum: 91; label: 40
title: Orientaion of simplexes
pagenum: 92; label: 41
title: Simplicial complexes
pagenum: 94; label: 42
title: Incidence
pagenum: 95; label: 43
title: Triangulation
pagenum: 97; label: 44
title: Examples of Triangulation
pagenum: 98; label: VI
title: HOMOLOGY; label: 45
title: Introduction
pagenum: 102; label: 46
title: Finitely generated Abelian groups
pagenum: 103; label: 47
title: Chains
pagenum: 108; label: 48
title: Boundaries
pagenum: 109; label: 49
title: Cycles
pagenum: 110; label: 50
title: Homology Groups
pagenum: 111; label: 51
title: Betti numbers
pagenum: 115; label: 52
title: Chains over an abitrary Abelian group
pagenum: 116; label: 53
title: Cohomology
pagenum: 120; label: 54
title: Calculation of homology groups
pagenum: 120; title: BIBLIOGRAPHY
pagenum: 125; title: INDEX
pagenum: 126